SOLVABILITY FOR A CLASS OF NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR IN BANACH SPACES

被引：2
作者：
Derbazi, Choukri [1 ]
机构：
[1] Univ Ghardaia, Lab Math & Appl Sci, Fac Sci, Bounoura 47000, Algeria
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2020年 / 35卷 / 03期
关键词：
Banach spaces; differential equations; Caputo-Hadamard fractional-order; Laplacian operator; Monch's fixed point theorem; BOUNDARY-VALUE-PROBLEMS; WEAK SOLUTIONS; EXISTENCE; STABILITY;
D O I：
10.22190/FUM12003693D
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the existence of solutions for certain classes of nonlinear differential equations involving the Caputo-Hadamard fractional-order with p-Laplacian operator in Banach spaces. The arguments are based on Monch's fixed point theorem combined with the technique of measures of noncompactness. An example is also presented to illustrate the effectiveness of the main results.
引用
收藏
页码：693 / 711
页数：19
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